From 639552a2649139ba14363f30daa20786532b21b0 Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Mon, 23 Jul 2018 13:51:13 -0400 Subject: implemented the discrete gaussian model for roughening --- src/wolff_On.cpp | 2 +- src/wolff_dgm.cpp | 168 ++++++++++++++++++++++++++++++++++++++++++++++++++++ src/wolff_ising.cpp | 2 +- src/wolff_potts.cpp | 20 +++---- 4 files changed, 180 insertions(+), 12 deletions(-) create mode 100644 src/wolff_dgm.cpp (limited to 'src') diff --git a/src/wolff_On.cpp b/src/wolff_On.cpp index a59876f..9f95f4a 100644 --- a/src/wolff_On.cpp +++ b/src/wolff_On.cpp @@ -125,7 +125,7 @@ int main(int argc, char *argv[]) { const char *pert_type; - std::function gen_R; + std::function gen_R; if (use_pert) { gen_R = std::bind(generate_rotation_perturbation , std::placeholders::_1, std::placeholders::_2, epsilon); diff --git a/src/wolff_dgm.cpp b/src/wolff_dgm.cpp new file mode 100644 index 0000000..6337a5e --- /dev/null +++ b/src/wolff_dgm.cpp @@ -0,0 +1,168 @@ + +#include + +#ifdef HAVE_GLUT +#include +#endif + +// include your group and spin space +#include +#include + +// include wolff.h +#include + +typedef state_t , height_t> sim_t; + +int main(int argc, char *argv[]) { + + count_t N = (count_t)1e4; + + D_t D = 2; + L_t L = 128; + double T = 2.26918531421; + double H = 0; + + bool silent = false; + bool draw = false; + unsigned int window_size = 512; + uint64_t epsilon = 1; + + int opt; + + while ((opt = getopt(argc, argv, "N:D:L:T:H:sdw:e:")) != -1) { + switch (opt) { + case 'N': // number of steps + N = (count_t)atof(optarg); + break; + case 'D': // dimension + D = atoi(optarg); + break; + case 'L': // linear size + L = atoi(optarg); + break; + case 'T': // temperature + T = atof(optarg); + break; + case 'H': // external field. nth call couples to state n + H = atof(optarg); + break; + case 'e': // external field. nth call couples to state n + epsilon = atof(optarg); + break; + case 's': // don't print anything during simulation. speeds up slightly + silent = true; + break; + case 'd': +#ifdef HAVE_GLUT + draw = true; + break; +#else + printf("You didn't compile this with the glut library installed!\n"); + exit(EXIT_FAILURE); +#endif + case 'w': + window_size = atoi(optarg); + break; + default: + exit(EXIT_FAILURE); + } + } + + // initialize random number generator + gsl_rng *r = gsl_rng_alloc(gsl_rng_mt19937); + gsl_rng_set(r, rand_seed()); + + // define spin-spin coupling + std::function , height_t)> Z = [] (height_t h1, height_t h2) -> double { + return -pow(h1.x - h2.x, 2); + }; + + // define spin-field coupling + std::function )> B = [=] (height_t h) -> double { + return -H * pow(h.x, 2);; + }; + + // initialize state object + sim_t s(D, L, T, Z, B); + + // define function that generates self-inverse rotations + std::function (gsl_rng *, height_t)> gen_R = [=] (gsl_rng *r, height_t h) -> dihedral_inf_t { + dihedral_inf_t rot; + rot.is_reflection = true; + + int direction = gsl_rng_uniform_int(r, 2); + int64_t amount = gsl_rng_uniform_int(r, epsilon); + + if (direction == 0) { + rot.x = 2 * h.x + (1 + amount); + } else { + rot.x = 2 * h.x - (1 + amount); + } + + return rot; + }; + + // define function that updates any number of measurements + std::function measurement; + + double average_M = 0; + if (!draw) { + // a very simple example: measure the average magnetization + measurement = [&] (const sim_t *s) { + average_M += (double)s->M / (double)N / (double)s->nv; + }; + } else { + // a more complex example: measure the average magnetization, and draw the spin configuration to the screen + + // initialize glut + glutInit(&argc, argv); + glutInitDisplayMode(GLUT_SINGLE | GLUT_RGB); + glutInitWindowSize(window_size, window_size); + glutCreateWindow("wolff"); + glClearColor(0.0,0.0,0.0,0.0); + glMatrixMode(GL_PROJECTION); + glLoadIdentity(); + gluOrtho2D(0.0, L, 0.0, L); + + measurement = [&] (const sim_t *s) { + average_M += (double)s->M / (double)N / (double)s->nv; + glClear(GL_COLOR_BUFFER_BIT); + int64_t max_h = INT64_MIN; + int64_t min_h = INT64_MAX; + for (v_t i = 0; i < pow(L, 2); i++) { + int64_t cur_h = act_inverse(s->R, s->spins[i]).x; + if (cur_h < min_h) { + min_h = cur_h; + } + if (cur_h > max_h) { + max_h = cur_h; + } + } + + for (v_t i = 0; i < pow(L, 2); i++) { + int64_t cur_h = act_inverse(s->R, s->spins[i]).x; + double mag = ((double)(cur_h - min_h)) / ((double)(max_h - min_h)); + glColor3f(mag, mag, mag); + glRecti(i / L, i % L, (i / L) + 1, (i % L) + 1); + } + glFlush(); + }; + } + + // run wolff for N cluster flips + wolff(N, &s, gen_R, measurement, r, silent); + + // tell us what we found! + printf("%" PRIcount " DGM runs completed. D = %" PRID ", L = %" PRIL ", T = %g, H = %g, = %g\n", N, D, L, T, H, average_M); + + // free the random number generator + gsl_rng_free(r); + + if (draw) { + } + + return 0; + +} + diff --git a/src/wolff_ising.cpp b/src/wolff_ising.cpp index 83b6448..e072d6a 100644 --- a/src/wolff_ising.cpp +++ b/src/wolff_ising.cpp @@ -88,7 +88,7 @@ int main(int argc, char *argv[]) { state_t s(D, L, T, Z, B); // define function that generates self-inverse rotations - std::function *)> gen_R = [] (gsl_rng *, const state_t *) -> z2_t { + std::function gen_R = [] (gsl_rng *, ising_t s) -> z2_t { z2_t rot; rot.x = true; return rot; diff --git a/src/wolff_potts.cpp b/src/wolff_potts.cpp index 3b55472..74e0ea9 100644 --- a/src/wolff_potts.cpp +++ b/src/wolff_potts.cpp @@ -90,21 +90,21 @@ int main(int argc, char *argv[]) { state_t , potts_t> s(D, L, T, Z, B); // define function that generates self-inverse rotations - std::function (gsl_rng *, const sim_t *)> gen_R = [] (gsl_rng *r, const sim_t *s) -> symmetric_t { + std::function (gsl_rng *, potts_t)> gen_R = [] (gsl_rng *r, potts_t v) -> symmetric_t { symmetric_t rot; init(&rot); - for (int i = POTTSQ - 1; i >= 0; i--) { - if (rot.perm[i] == i) { - q_t j = gsl_rng_uniform_int(r, i + 1); - if (rot.perm[j] == j) { - q_t tmp = rot.perm[i]; - rot.perm[i] = rot.perm[j]; - rot.perm[j] = tmp; - } - } + q_t j = gsl_rng_uniform_int(r, POTTSQ - 1); + q_t swap_v; + if (j < v.x) { + swap_v = j; + } else { + swap_v = j + 1; } + rot.perm[v.x] = swap_v; + rot.perm[swap_v] = v.x; + return rot; }; -- cgit v1.2.3-70-g09d2